Title of article :
EXTENSIONS OF Σ-ZIP RINGS
Author/Authors :
Lunqun. Ouyang Department of Mathematics Hunan - University of Science and Technology, China , Qiong, Zhou Department of Mathematics Hunan - University of Science and Technology, China , Jinfang, Wu Department of Mathematics Hunan - University of Science and Technology, China
Abstract :
In this note we consider a new concept, so called Σ-zip ring, which
unifies zip rings and weak zip rings. We observe the basic properties of Σ-zip
rings, constructing typical examples. We study the relationship between the
Σ-zip property of a ring R and that of its Ore extensions and skew generalized
power series extensions. As a consequence, we obtain a generalization of several
known results relating to zip rings and weak zip rings.
Keywords :
Σ-zip ring , Ore extension
Journal title :
International Electronic Journal of Algebra
